Least number k such that the k-th Catalan number C(2k,k)/(k+1) is divisible by n!.

Terms

a(0) =1a(1) =2a(2) =5a(3) =14a(4) =14a(5) =46a(6) =46a(7) =382a(8) =446a(9) =1662a(10) =1662a(11) =3582a(12) =3582a(13) =4094a(14) =4094a(15) =130942a(16) =130942a(17) =458238a(18) =458238a(19) =1040382a(20) =1046526a(21) =2883582a(22) =3129342a(23) =16760830a(24) =16760830a(25) =56623102a(26) =66584318a(27) =367001598a(28) =367001598a(29) =670826494